Problem while opening shapefile

[naoliv]

The attached shapefile properly opens in QGIS while in JOSM it seems to import everything but nothing is displayed.
Also, when trying to select the objects and zoom in/out on they (even though we can't see anything), something wrong starts to happen:

ERRO: NaN in greatCircleDistance
ERRO: NaN in greatCircleDistance
INFO: bbox: [ x: NaN -> NaN, y: NaN -> NaN ] is out of the world
INFO: bbox: [ x: NaN -> NaN, y: NaN -> NaN ] is out of the world
ERRO: NaN in greatCircleDistance
ERRO: NaN in greatCircleDistance
ERRO: NaN in greatCircleDistance
(…)

Repository Root: http://josm.openstreetmap.de/svn
Build-Date: 2015-08-06 01:32:57
Last Changed Author: wiktorn
Revision: 8643
Repository UUID: 0c6e7542-c601-0410-84e7-c038aed88b3b
Relative URL: ^/trunk
URL: http://josm.openstreetmap.de/svn/trunk
Last Changed Date: 2015-08-05 23:51:30 +0200 (Wed, 05 Aug 2015)
Last Changed Rev: 8643

Identification: JOSM/1.5 (8643 pt_BR) Linux Debian GNU/Linux testing (stretch)
Memory Usage: 247 MB / 10206 MB (149 MB allocated, but free)
Java version: 1.7.0_75, Oracle Corporation, OpenJDK 64-Bit Server VM
Java package: openjdk-7-jre:amd64-7u75-2.5.4-2
VM arguments: [-Dawt.useSystemAAFontSettings=on, -Dsun.java2d.opengl=true]

Plugins:
- Create_grid_of_ways (31241)
- OpeningHoursEditor (31241)
- PicLayer (31241)
- SimplifyArea (31241)
- buildings_tools (31361)
- conflation (0.1.7)
- contourmerge (1013)
- download_along (31241)
- editgpx (31241)
- geotools (31126)
- imagery_offset_db (31241)
- importvec (31241)
- jts (31126)
- log4j (31231)
- measurement (31289)
- merge-overlap (31241)
- opendata (31241)
- pbf (31241)
- pdfimport (31241)
- poly (31241)
- reverter (31241)
- scripting (30710)
- todo (29154)
- turnrestrictions (31241)
- undelete (31241)
- utilsplugin2 (31241)

[Don-vip]

The .prj file is wrong, the coordinates are not in degrees. I managed to open the shapefile with this .prj file, but with an offset error:

PROJCS["WGS 84 / Pseudo-Mercator",
    GEOGCS["Popular Visualisation CRS",
        DATUM["Popular_Visualisation_Datum",
            SPHEROID["Popular Visualisation Sphere",6378137,0,
                AUTHORITY["EPSG","7059"]],
            TOWGS84[0,0,0,0,0,0,0],
            AUTHORITY["EPSG","6055"]],
        PRIMEM["Greenwich",0,
            AUTHORITY["EPSG","8901"]],
        UNIT["degree",0.01745329251994328,
            AUTHORITY["EPSG","9122"]],
        AUTHORITY["EPSG","4055"]],
    UNIT["metre",1,
        AUTHORITY["EPSG","9001"]],
    PROJECTION["Mercator_1SP"],
    PARAMETER["central_meridian",0],
    PARAMETER["scale_factor",1],
    PARAMETER["false_easting",0],
    PARAMETER["false_northing",0],
    AUTHORITY["EPSG","3785"],
    AXIS["X",EAST],
    AXIS["Y",NORTH]]

Where does your shapefile come from?

[naoliv]

If I am not mistaken, I got it from a government agency which is responsible for the highways.

[Don-vip]

I can't do anything with this data.